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What is the Least Common Multiple of 9254 and 9267?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9254 and 9267 is 85756818.

LCM(9254,9267) = 85756818

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Least Common Multiple of 9254 and 9267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9254 and 9267, than apply into the LCM equation.

GCF(9254,9267) = 1
LCM(9254,9267) = ( 9254 × 9267) / 1
LCM(9254,9267) = 85756818 / 1
LCM(9254,9267) = 85756818

Least Common Multiple (LCM) of 9254 and 9267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9254 and 9267. First we will calculate the prime factors of 9254 and 9267.

Prime Factorization of 9254

Prime factors of 9254 are 2, 7, 661. Prime factorization of 9254 in exponential form is:

9254 = 21 × 71 × 6611

Prime Factorization of 9267

Prime factors of 9267 are 3, 3089. Prime factorization of 9267 in exponential form is:

9267 = 31 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 9254 and 9267.

LCM(9254,9267) = 21 × 71 × 6611 × 31 × 30891
LCM(9254,9267) = 85756818